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 Jul19 asked The extinction probability of Galton-Watson process from a martingale perspective. Jul9 accepted Are there infinitely many $n$ such that $n$ and $2n+1$ are both prime numbers? Jul8 asked Are there infinitely many $n$ such that $n$ and $2n+1$ are both prime numbers? Jun19 comment Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.? @ByronSchmuland Hmm, you're right. $S_n / n \to 2p - 1 > 0$ almost surely, so $S_n \to \infty$ almost surely Jun19 revised Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.? added 5 characters in body Jun19 comment Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.? @ByronSchmuland Yeah, you're right about case 1. It should be $S_n = 0$ for all $n$. Jun19 asked Is it possible to have $\mathbb E S_n \to \infty$ but $\inf S_n = -\infty$ a.s.? Jun18 accepted Sum of positive i.i.d. random variables. Jun18 asked Sum of positive i.i.d. random variables. Jun17 comment How many ways can $5$ rings be placed on $4$ fingers? Shouldn't this goes to infinity? Jun16 comment combinatorics - Distribution of Distinct Balls into Distinct Boxes By nPk do you mean $\binom n k$? Jun16 accepted Convergence to exponential function. Jun14 revised $X,Y$ i.i.d., $X$ and $(X+Y)/\sqrt{2}$ have the same dist., then show that $X$ has a normal distribution deleted 2 characters in body Jun14 answered $X,Y$ i.i.d., $X$ and $(X+Y)/\sqrt{2}$ have the same dist., then show that $X$ has a normal distribution Jun13 revised Convergence to exponential function. added 39 characters in body Jun13 asked Convergence to exponential function. Jun3 accepted Scheffe’s Theorem Jun3 comment Scheffe’s Theorem @ChrisJanjigian I see, it is $1 \le n \le \infty$. Thanks! Jun3 comment Scheffe’s Theorem @ChrisJanjigian How do we get $\int f_\infty = 1$? Dominated convergence theorem? Jun3 asked Scheffe’s Theorem